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Finding the Fourth Proportional to 537.64, 746.92 and 532.58

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Solution

The fourth proportional to 537.64, 746.92 and 532.58 is: 739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.64 : 746.92 = 532.58 : x
  2. Step 2: Convert to fraction form
    537.64/746.92 = 532.58/x
  3. Step 3: Cross multiply
    537.64x = 746.92 × 532.58
  4. Step 4: Simplify right side
    537.64x = 397,791.58
  5. Step 5: Solve for x
    x = 397,791.58/537.64
  6. Step 6: Final answer
    x = 739.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.